Methods in Quantum Computing

(Spring 2026)

Class (lecture + tutorial): Wednesday 9am-12pm on Zoom/in person at UTS - room CB11.06.309

Office hours: by appointment

Code of conduct

Assessment

The assessment consists of three individual problem sets, a paired video project on quantum technology, and a final project on quantum protocols. The relative weights are 45% / 30% / 25%

Assessment #1 Individually graded exercises (Set 0 - due August 5 in class, Set 1 - due Aug 19 in class, Set 2 - due Sept 9, Set 3 - due Oct 7 in class). Set 0 is non-mandatory, consisting of prerequisites. It gives you a chance to refresh the fundamentals of quantum and linear algebra and perhaps earn a few bonus points that can be added to subsequent problem sets. Each (1-3) set constitutes 15% of the final grade. Please include full solutions, not just the answers!

solutions to set 0

Assessment #2 (video due Sept 16, midnight, 30pt, Choose a topic in quantum computing from a list given by the coordinator (additional topics might be allowed if agreed by the coordinator). Research, using relevant scholarly and/or popular resources, and/or imagine the application a future quantum technology might bring us. You can focus on applications of your topic or how (improvements in) quantum tech help us to advance/better understand the topic. Discuss how the technology might serve or change society/business/personal lives/economy/health, engineering, etc and discuss the challenges and limitations of the quantum approach. Prepare and record a 15-minute presentation (+/- 3 minutes) that discusses the technology and its application. Upload your video to YouTube/Vimeo/Dropbox and share your link with the class. Exceptionally creative videos can earn bonus points. Provide feedback to at least 2 other videos within two weeks after the submission deadline. This assessment will be undertaken in groups set by the lecturer

List of topics to choose from to be added soon. Choosing the assessment topic to be the same as the honours/masters/PhD topic is strongly discouraged.

Assessment #3 (25pt, presentation report) This assessment includes an in-class presentation and a submitted written report. Students will choose a protocol from a list given by the coordinator. They will need to use classical and quantum literature to determine how the protocol compares to its classical counterpart, what its limitations are and when and how could it be successfully deployed.

The presentation should be about 10 minutes including questions but the time is somewhat flexible. As for the report, anything between 2-10 pages would be acceptable as long as you're able to explain the result.

The list of topics will be added later. Choosing the assessment topic to be the same as the honours/masters/PhD topic is strongly discouraged.

Prerequisites

Chris’s lectures from his Youtube channel

linear algebra for quantum computing

Recommended texts

Michael Nielsen and Isaac Chuang, "Quantum Computation and Quantum Information," Cambridge University Press.

Phillip Kaye, Raymond Laflamme and Michele Mosca, "An Introduction to Quantum Computing", Oxford University Press

Lecture notes from John Preskill and his video lectures

Very useful quantum computation prerequisite material from Richard Jozsa

Useful tools

IBM quantum experience

Cirq open source framework by Google Quantum AI for programming quantum computers

LECTURE NOTEs

quantum information (Lecture 1-6)

Week 1 — Wednesday, 29 July 2026

Quantum States, Single- and Multi-Qubit Gates

slides

Week 2 — Wednesday, 5 August 2026

Gate Universality & Continuous-Time Dynamics, No-Cloning theorem, Measurement

📥 Problem Set 0 (non-mandatory) DUE

🚀 Problem Set 1 Released

slides handout on Kronecker delta

Week 3 — Wednesday, 12 August 2026

Mixed States

slides (we didn’t cover POVMs)

Week 4 — Wednesday, 19 August 2026

Entanglement, Teleportation & Superdense Coding

slides

📥 Problem Set 1 DUE

Week 5 — Wednesday, 26 August 2026

Quantum Channels,POVM & Tomography

slides

🚀 Problem Set 2 Released

Week 6 — Wednesday, 2 September 2026

Channel Capacity & Quantum Cryptography

Week 7 — Wednesday, 9 September 2026

The Quantum Stack, DiVincenzo's Criteria & Physical Qubit Platforms

📥 Problem Set 2 DUE

Week 8 — Wednesday, 16 September 2026

Decoherence & Quantum Error Correction

📥 Video Project DUE

🚀 Problem Set 3 Released

⏸️ Mid-Session StuVac (Study Vacation) Monday, 21 September 2026 – Friday, 25 September 2026

Week 9 — Wednesday, 30 September 2026

Models of Computation & Quantum Complexity

Week 10 — Wednesday, 7 October 2026

Oracle Algorithms & Phase Kickback

📥 Problem Set 3 DUE

✅ Video Project Marking Complete

Week 11 — Wednesday, 14 October 2026

QFT, Phase Estimation & Shor's Algorithm

Week 12 — Wednesday, 21 October 2026

Grover's Search, Hamiltonian Simulation & Course Synthesis